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Three Cubes

Can you work out the dimensions of the three cubes?

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Nine Colours

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

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Marbles in a Box

How many winning lines can you make in a three-dimensional version of noughts and crosses?

Inside Out

Age 14 to 16 Challenge Level:

This problem benefits from being able to handle real cubes using multilink or similar equipment.

Some sticky labels to identify which cubes have been painted and their locations may also prove beneficial.

Just trying to justify that in theory this should also be possible is a useful little proof.